Question

An almirah is sold at $5,225$ after allowing a discount of $5$%. Find its marked price.

Answer 1

Krishna used this method:
The discount is given in percentage.
Hence, the M.P. is taken as $100$.
Rate of discount $=5$%
Amount of discount $=\frac{5}{100}\times 100$
$=$ $5$.
Selling Price $=$ M.P. $-$ Discount
$=100-5=$ $95$
If S.P. is $95$, then M.P. is $100$.
When S.P. is $5225$,
M.P. $=\frac{100}{95}\times 5225$
$\therefore$ M.P. of the almirah $=$ $5,500$.

OR
Vignesh used the formula method:
S.P. $=$ Rs $5225$
Discount $=5$%
M.P. $=$ ?
M.P. $=\left(\frac{100}{100-Discount}\right)\times$ S.P.
$=\left(\frac{100}{100-5}\right)\times 5225$
$=\frac{100}{95}\times 5225$
$=$ $5,500$.